Search a number
-
+
11254880850656 = 255921587276151
BaseRepresentation
bin1010001111000111101100…
…1011001101001011100000
31110211221210222221102211012
42203301323023031023200
52433344443444210111
635534230524440052
72241065303521352
oct243617313151340
943757728842735
1011254880850656
11364a19390a533
1213193309a9028
1363843b754b51
142aca4c2b10d2
15147b72c4148b
hexa3c7b2cd2e0

11254880850656 has 48 divisors (see below), whose sum is σ = 22534732241280. Its totient is φ = 5531783779200.

The previous prime is 11254880850643. The next prime is 11254880850667. The reversal of 11254880850656 is 65605808845211.

11254880850656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a junction number, because it is equal to n+sod(n) for n = 11254880850595 and 11254880850604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40618181 + ... + 40894331.

It is an arithmetic number, because the mean of its divisors is an integer number (469473588360).

Almost surely, 211254880850656 is an apocalyptic number.

11254880850656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11254880850656 is an abundant number, since it is smaller than the sum of its proper divisors (11279851390624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11254880850656 is a wasteful number, since it uses less digits than its factorization.

11254880850656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297807 (or 297799 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 59.

The spelling of 11254880850656 in words is "eleven trillion, two hundred fifty-four billion, eight hundred eighty million, eight hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 118 236 472 944 1888 21587 43174 86348 172696 276151 345392 552302 690784 1104604 1273633 2209208 2547266 4418416 5094532 8836832 10189064 16292909 20378128 32585818 40756256 65171636 130343272 260686544 521373088 5961271637 11922543274 23845086548 47690173096 95380346192 190760692384 351715026583 703430053166 1406860106332 2813720212664 5627440425328 11254880850656